Answer:
C
Step-by-step explanation:
According to SohCahToa, cosine is adjacent over the hypotenuse.
The adjacent when looking from angle b, is 21.
The hypotenuse of this triangle is 29.
So Cos B=21/29
Find the circumference of the circle with the given radius or diameter. Use - 3.14.
diameter = 19 m
A. 29.83 m
B. 283.39 m
C. 59.66 m
D. 1,133.54 m
Answer:
C) 59.66 m
Step-by-step explanation:
C = pi d
in this case, d=19
so, when you solve, with a negative pi, you get somewhere around 59.66.
because -3.14 times 19 equals 59.69, which is closest to c.
The graph of y=sinx is transformed to y=asin(x−c)+d by a vertical compression by a factor of 14, then translated π3 units right and 5 units down. The new equation is:
Answer:
y= 1/14 sin(x-3π)-5
What is the center of the circle? Also, use the midpoint formula to verify it.
Answer:
center : (-2, -2.5)
Step-by-step explanation:
Midpoint point formula says that if there are two points (x1,y1) and (x2,y2) then
coordinate of midpoint is given by
midpoint (x1+x2)/2 , (y1+y2)/2
_______________________________________________
In the problem, we have to find the center of circle of by using the midpoint formula.
Since the circle is circumscribed in square. Its center will be midpoint of either of the diagonal.
To find the center we can take coordinate of any of two diagonal points of square and find midpoint for this and that will be center of circle.
_________________________________________________
1st diagonal pair(4,8) and (-8,-3)
Then midpoint is (4 + -8)/2 , (8+ -3)/2
midpoint (-2, -2.5)
Thus, center of circle is (-2,-2.5)
we can verify this by using other diagonal pair (-8,8) and (4,-3)
Midpoint in this case can be calculated as
midpoint (-8+4)/2 , (8 + -3)/2
midpoint (-2,-2.5)
Thus, we see that in both cases Midpoint is same and hence center is (-2, -2.5)
A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find the probability that the sample mean is more than 85 g
Answer:
The probability is 0.04746
Step-by-step explanation:
Firstly, we calculate the z-score here
Mathematically;
z-score = x-mean/SD/√n
Where from the question;
x = 85, mean = 90 , SD = 15 and n = 25
Plugging these values into the equation, we have;
Z = (85-90)/15/√25 = -5/15/5 = -1.67
So the probability we want to calculate is ;
P(z > -1.67)
We use the standard normal distribution table for this;
P(z > -1.67) = 0.04746
72 students choose to attend one of three after school activities: football, tennis or running. There are 25 boys. 27 students choose football, of which 17 are girls. 18 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:
3/8
Step-by-step explanation:
There are 72 students. 27 students choose football, and 18 choose tennis, which means 27 choose running.
So the probability that a student chooses running is 27/72, which reduces to 3/8.
What is the solution to this equation? w - 3 = 15
Answer:
w = 18Step-by-step explanation:
w - 3 = 15
Add 3 to both sides to make w stand alone
That's
w - 3 + 3 = 15 + 3
w = 15 + 3
We have the final answer as
w = 18
Hope this helps you
Answer: w = 18
Step-by-step explanation: To solve for w in this equation, we want to get w by itself on the left side of the equation.
Since 3 is being subtracted from w, to get w by itself,
we need to add 3 to the left side of the equation.
If we add 3 to the left side, we must also add 3 to the right side.
Notice that on the left side, -3 and +3 cancel
each other out so were simply left with w.
On the right side, 15 + 3 is 18.
So we have w = 18.
Write the first five terms of the arithmetic sequence.
Answer:
a1 = 4
a2= -2
a3 = -8
a4= -14
a5= -20
Step-by-step explanation:
a12= a1 + 11d
-62 = 4 + 11d
-62-4 = 11d
-66= 11d
d = [tex]\frac{-66}{11}\\[/tex]
= -6
a1 = 4
a2 = 4 - 6 = -2
a3 = 4 - (6×2) = -8
a4 = 4 - (6×3) = -14
a5 = 4 - (6×4) = -20
The coordinates of the vertices of a rectangle are given by R(- 3, - 4), E(- 3, 4), C (4, 4), and T (4, - 4). A. Use the Pythagorean Theorem to find the exact length of ET. B. How can you use the Distance Formula to find the length of ET? Show that the Distance Formula gives the same answer.
Answer:
see explanation
Step-by-step explanation:
Pythagorean Theorem
7² + 8² = x²
49 + 64 = x²
113 = x²
x = √113 or 10.63
Distance Formula
√(-4 - 4)² + (4 - -3)²
= √8² + 7²
= √113 or 10.63
HeLpPPppPpppPPPPPPPppppppPPPPpppppPPPpppppPPPPPPppppppPP AGgaGAGgagagGAGin!!!!!!!!!!!!
Answer:
Pii is equAAAaaaaallLLLL to 3.14(rounded)
Step-by-step explanation:
Here listed are some formulas which can help you with your problems:
circumference of a circle=C=2πr
however, you can also write it as dπ, since is two d times r.
area of a circle= πr^2
simply plug in your values, and solve them
you have all the materials you need to know
Further assistance/spoonfeed time:
We know the formulas for the circumference and area.
We also have the values of the circles A and B.
C=2πr
That's the formula, and now I'm gonna plug in the values given to me for A, which is 21.98 for circumference, and 7 for diameter.
(21.98)=2πr
Like I said before, the radius multiplied by 2 is the diameter, which is 7. But if you actually want the radius for some reason, just divide the diameter by 2.
let's update the equation: 21.98= 7π
now divide both sides by seven, and you'll get 3.14=π
area=π^2
now do what i just did, according to this formula
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
Answer:
Hey there!
We can solve this by multiplying 0.3 by 546, which is about 164.
Hope this helps :)
Explanation: Set up your equation as you read through the problem.
"What" means x, "is", equals, "30%", 30/100, "of", times, "546", 546.
So our equation reads x = 30/100 · 546.
Simplifying on the right side of the equation,
we can reduce 30/100 to 3/10.
So we have x = 3/10 · 546.
Now multiply across the numerators and denominators to get 1638/10.
This reduces to 819/5 which can be written as 163.8.
F(-2) for f(x) =5•3^x
Answer:
5/9
Step-by-step explanation:
f(x) =5•3^x
Let f = -2
f(2) =5•3^-2
= 5 * 1/ 3^2
= 5 * 1/9
= 5/9
Step-by-step explanation:
F(-2) for f(x) =5•3^x
Then, replace x by - 2
F(-2)=5•3^-2 (RULE= 3^-2 = 1/3^2)
[tex] = 5. \frac{1}{ {3}^{2} } [/tex]
[tex] = 5 . \frac{1}{9} [/tex]
[tex] = \frac{5}{9} [/tex]
Hope this helps..have a great day!
On a recent shopping trip, you see a sale advertising 3 pairs of socks and 2 pairs of shoes for $60. Write an equation using x to represent the cost of socks and y to represent the cost of shoes.
Answer:
3x + 2y =60
Step-by-step explanation:
x = socks
y = shoes
3x + 2y =60
Answer:
3x + 2y =60
Step-by-step explanation:
Hope this Helps you !
Need steps to 1/r+s=1/t than s=
Answer:
s = 1/t - 1/r
Step-by-step explanation:
1/r+s=1/t
Subtract 1/r from each side
1/r - 1/r+s=1/t- 1/r
s = 1/t - 1/r
Answer:
[tex]\huge{\boxed{s=t-r}}[/tex]
Step-by-step explanation:
if
[tex]\dfrac{1}{r+s}=\dfrac{1}{t}\qquad\text{cross multiply}\\\\(1)(t)=(1)(r+s)\\\\t=r+s\qquad\text{subtract}\ r\ \text{from both sides}\\\\t-r=r-r+s\\\\t-r=s\to\boxed{s=t-r}[/tex]
4 divided by 54.40
[tex]4 \div 54.40 = [/tex]
A rectangular waterbed is 7 ft long 5 ft wide and 1 ft tall
How many gallons of water are needed to fill the waterbed?
Assume i gallon is 013 cu ft. Round to the nearest whole galon
Hey there! I'm happy to help!
We want to find the volume of this rectangular waterbed. This means the amount of space it takes up. To find the volume of a rectangular prism, you just multiply together the three side lengths.
7×5×1=35 cubic feet
Now, we need to see how many gallons fit into 35 cubic feet. We see that one gallon is equal to 0.13 cubic feet. So, we can set up a proportion to find how many gallons are needed. We will use g to represent our missing number of gallons.
[tex]\frac{gallons}{cubic feet} = \frac{1}{0.13} =\frac{g}{35}[/tex]
In a proportion, the products of the diagonal numbers are equal. This means that 35, which is 1 multiplied by 35, is equal to 0.13g, which is from multiplying 0.13 by the g.
0.13g=35
We divide both sides by 0.13/
g≈269.23
When rounded to the nearest whole gallon, we will need 269 gallons of water to fill the waterbed.
I hope that this helps! Have a wonderful day! :D
Answer:
Step-by-step explanation:
Since the waterbed is rectangular, its volume would be determined by applying the formula for determining the volume of a cuboid which is expressed as
Volume = length × width × height
Therefore,
Volume of waterbed = 7 × 5 × 1 = 35 cubic feet
1 US gallon = 0.133680556 cubic feet
Therefore, converting 35cubic feet to gallons, it becomes
35/0.133680556 = 261.81818094772 gallons
Rounding up to whole gallon, it becomes 262 gallons
Can u help me plz thank u
Answer:
A. Neither Sneha nor the credit card company owes money
Step-by-step explanation:
A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute
1 minute = 60 seconds
15 seconds /60 = 0.25 minutes.
Total time in minutes is 4.25
Divide total copies by total minutes:
153 / 4.25 = 36 copies per minute
Answer:
[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]
Step-by-step explanation:
[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]
[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]
[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]
[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]
[tex]\displaystyle \frac{153}{4.25} =36[/tex]
[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]
someone please do this like literally please
Answers:
sin a=12/15=4/5
step by step explanation:
AB=9, and BC=12
find c: hyp.=√12²+9²=c²
c=15
sin a=opp/hyp.=12/15=4/5 ( convert to degrees)
a=41.10
Gabrielle's age is three times Mikhail's age. The sum of their ages is 92. What is Mikhail's age?
Answer:
Gabrielle is 69 while Mikhail is 23.
Step-by-step explanation:
Let G represent Gabrielle's age and M represent Mikhail's age.
Gabrielle is three times Mikhail's age. In other words:
[tex]G=3M[/tex]
The sum of their ages is 92. In other words:
[tex]G+M=92[/tex]
This is a system of equations. Solve. Substitute in G:
[tex]G+M=92\\(3M)+M=92\\4M=92\\M=23[/tex]
Thus, Mikhail is 23. Now, find Gabrielle's age:
[tex]G=3M\\G=3(23)\\G=69[/tex]
Gabrielle is 69.
What is the input value other than -7, for which h (x) = 3?
Answer:
x=5
Step-by-step explanation:
h (x) = 3
We want the x values where y =3
The values are x = -7 and x=5
Solve : 1 − | 0.2(m−3)+ 1/4| =0
Answer:
1-{0.2(m-3)+¼}=0
1{0.2m-0.6+¼}=0
1-{(0.8m-2.4+1)/4}=0
1-(0.8m-1.4)/4=0
lcm
(4-0.8m-1.4)/4=0
(2.6-0.8m)/4=0
cross multiply
2.6-0.8m=0
m=2.6/0.8
m=3.25
The solution of the expression are,
⇒ m = 3.25
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ 1 - | 0.2 (m - 3) + 1/4 | = 0
Now, We can simplify as;
⇒ 1 - | 0.2m - 0.6 + 1/4| = 0
⇒ 1 - |0.2m - 0.6 + 0.25| = 0
⇒ 1 - |0.2m - 0.35| = 0
⇒ 1 = 0.2m + 0.35
⇒ 1 - 0.35 = 0.2m
⇒ 0.2m = 0.65
⇒ m = 3.25
Thus, The solution of the expression are,
⇒ m = 3.25
Learn more about the mathematical expression visit:
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Daniel's mom deposits $80 into his savings account for the year. Daniel decides to upgrade his game account which costs $7 per month. How many months will Daniel be able to pay for his game account if his mom doesn't deposit any more money into his savings account?
Answer:
11.43
Step-by-step explanation:
80÷7= 11.428571428571428571428571428571
i hope this helps
 Given that UVW XYZ, what is the measure of Y?
A.
180
B.
70
C.
40
D.
90
Answer:
Y = 40
Step-by-step explanation:
First find the measure of V
The sum of the angles of a triangle equal 180
U+V+W =180
70+Y+70 =180
140+U =180
U = 180-140
U = 40
Since the triangles are similar
V = Y
40 = Y
Select all angle measures for which sin0= -√2/2
Answer:
5π/4 & 7π/4 & 13π/4
Step-by-step explanation:
For this problem, we simply need to find the value of theta for which arcsin(-sqrt(2)/2) is true. This value is π/4 or 45 degrees if we had a positive. To make the negative true, we need the angle to be in the third or fourth quadrants (i.e., 5π/4 and 7π/4). These are two of the answer choices. And then anytime these return (i.e., by adding 8/4 to either of these) should also be selected as a correct angle. Thus we get 13π/4 as the final angle.
Answer:
Option 1
Step-by-step explanation:
[tex]Total \: value \: of \: \pi \: in \: terms \: of \: angles \: = 180 [/tex]
[tex]So \: putting \: the \: of \: \pi \: in \: \frac{3\pi}{4} gives[/tex]
[tex] \frac{3 \times 180}{4} = 3 \times 45 = 135 \: degrees [/tex]
[tex] \sin(135) = \frac{- \sqrt{2} }{2} = \frac{-1}{ \sqrt{2} } [/tex]
Find the equilibrium price and quantity
from given demand and supply Funchon
Qd = 400-4p and Qs = 6p-10
Answer:
Step-by-step explanatiio:
Ep is when Qd=Qs
400-4p=6p-10
-4p-6p=-10-400
-8p=-410
P=51.25frs
EQ=400-4(51.25)
400-205
=125kg
Explaining Graphs of Functions
Explain how to use a graph of the function f(x) to
find f(3)
h
Answer:
please, check the explanation.
Step-by-step explanation:
Hello, I can help you with this
using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)
I hope it helps , Have a nice day
Answer: look in the explanation this is the exact sample responce on ed2020 change it into your own words
Step-by-step explanation:
For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
What is the length of AB? (Nearest TENTH) A.34 B.105.3 C.11.8 D.24.7
Answer:
The answer is option A.
Step-by-step explanation:
To find the length of AB we use sine
sin∅ = opposite / hypotenuse
From the question
AB is the hypotenuse
AC is the opposite
sin 36 = AC / AB
sin 36 = 20/ AB
AB = 20 / sin 36
AB = 34.026
AB is 34 to the nearest tenthHope this helps you
WILL GIVE BRAINLIEST!!!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes.
b. How many 1×1×1 cubes are completely unpainted?
c. How many 1×1×1 cubes have exactly two faces painted?
Answer:
b.27 c. 36 (THIS ANSWER IS CORRECT....IM IN RSM ;)
Step-by-step explanation:
The bottom one is for b.
Okay now for c. Lets first think about every cube that has two faces painted. all the cubes on the edges right? So that would be 5*12=60 but that isn't the answer because the problem stated EXACTLY two faces. That means every cube on a vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guide lines on each edge and there are 12 edges. So your answer would be 3*12=36!
You can do it simply by seeing that the outer cubes will have their upper surfaces painted and thus 5*5 squares for each outer surface which will leave a cube with 3×3×3 dimensions. It is 3*3*3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. So the length width and height will all end up as 5-2=3. Its kind of hard to explain and i suggest you draw it out if you don't understand...
The number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes have exactly two faces painted. is 36.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
b. BY looking that the outer cubes will have their upper surfaces painted and thus 5 x 5 squares for each outer surface which will leave a cube with 3×3×3 dimensions.
It is 3 x 3 x 3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. The length width and height will all end up as 5-2=3.
c. Let's first think about every cube that has two faces painted. So that would be 5x 12=60 but that isn't the answer because the problem stated exactly two faces.
That means every cube on vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guidelines on each edge and there are 12 edges.
The number is calculated as:-
N = 3x 12=36
Hence, the number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes has exactly two faces painted. is 36.
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A survey of 700 non-fatal car accidents showed that 183 involved faulty equipment. Find a point estimate for the population proportion of non-fatal car accidents that involved faulty equipment.
Answer:
Point of faulty equipment car = 0.2614 (Approx)
Step-by-step explanation:
Given:
Total number of car = 700
Faulty equipment car = 183
Find:
Point of faulty equipment car
Computation:
Point of faulty equipment car = Faulty equipment car / Total number of car
Point of faulty equipment car = 183 / 700
Point of faulty equipment car = 0.261428571
Point of faulty equipment car = 0.2614 (Approx)
15 POINTS+BRAINLIEST (Hurry now) A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train?
Answer:
speed=3.33m/s
Step-by-step explanation:
speed= distance÷time
3.33 m/s
length = ?
Answer:
Length : 50m
Speed : 5 m / s
im sorry if im too late :'(